Finding the Third Proportional to 48,639.50 and 106,505

Step by Step Solution

1. Step 1: Write the proportion equation
   48,639.50 : 106,505 = 106,505 : x
2. Step 2: Convert to fraction form
   48,639.50/106,505 = 106,505/x
3. Step 3: Cross multiply
   48,639.50x = 106,505 × 106,505
4. Step 4: Simplify right side
   48,639.50x = 11,343,315,025
5. Step 5: Solve for x
   x = 11,343,315,025/48,639.50
6. Step 6: Final answer
   x = 233,212.00